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22280468040 = 2333520630063
BaseRepresentation
bin10100110000000001…
…001111011001001000
32010111202122001022000
4110300001033121020
5331112244434130
614122511431000
71416062565525
oct246001173110
963452561260
1022280468040
1194a381a456
124399825460
132140ca16cc
14111510c14c
158a6080260
hex53004f648

22280468040 has 64 divisors (see below), whose sum is σ = 74268230400. Its totient is φ = 5941457856.

The previous prime is 22280467991. The next prime is 22280468051. The reversal of 22280468040 is 4086408222.

It is a happy number.

It is a super-2 number, since 2×222804680402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22280467986 and 22280468004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10313952 + ... + 10316111.

It is an arithmetic number, because the mean of its divisors is an integer number (1160441100).

Almost surely, 222280468040 is an apocalyptic number.

22280468040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22280468040 is an abundant number, since it is smaller than the sum of its proper divisors (51987762360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22280468040 is a wasteful number, since it uses less digits than its factorization.

22280468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20630083 (or 20630073 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22280468040 in words is "twenty-two billion, two hundred eighty million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 20630063 41260126 61890189 82520252 103150315 123780378 165040504 185670567 206300630 247560756 309450945 371341134 412601260 495121512 557011701 618901890 742682268 825202520 928352835 1114023402 1237803780 1485364536 1856705670 2228046804 2475607560 2785058505 3713411340 4456093608 5570117010 7426822680 11140234020 22280468040